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Finding the Fourth Proportional to 11,382, 15,692.18 and 9,952.76

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Solution

The fourth proportional to 11,382, 15,692.18 and 9,952.76 is: 13,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382 : 15,692.18 = 9,952.76 : x
  2. Step 2: Convert to fraction form
    11,382/15,692.18 = 9,952.76/x
  3. Step 3: Cross multiply
    11,382x = 15,692.18 × 9,952.76
  4. Step 4: Simplify right side
    11,382x = 156,180,373.19
  5. Step 5: Solve for x
    x = 156,180,373.19/11,382
  6. Step 6: Final answer
    x = 13,721.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.